CN107269700A - A kind of dynamic mesh update method of the radial oil film bearing based on Fluent - Google Patents

A kind of dynamic mesh update method of the radial oil film bearing based on Fluent Download PDF

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Publication number
CN107269700A
CN107269700A CN201710430240.9A CN201710430240A CN107269700A CN 107269700 A CN107269700 A CN 107269700A CN 201710430240 A CN201710430240 A CN 201710430240A CN 107269700 A CN107269700 A CN 107269700A
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China
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grid
journal
file
fluent
dynamic mesh
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Inventor
吴超
尹雪梅
李蒙蒙
朱茹敏
马明飞
李立伟
任菲
郭志强
杨春燕
巩晓赟
张德海
崔晓康
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Zhengzhou University of Light Industry
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Zhengzhou University of Light Industry
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Priority to CN201710430240.9A priority Critical patent/CN107269700A/en
Publication of CN107269700A publication Critical patent/CN107269700A/en
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16CSHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
    • F16C32/00Bearings not otherwise provided for
    • F16C32/06Bearings not otherwise provided for with moving member supported by a fluid cushion formed, at least to a large extent, otherwise than by movement of the shaft, e.g. hydrostatic air-cushion bearings
    • F16C32/0629Bearings not otherwise provided for with moving member supported by a fluid cushion formed, at least to a large extent, otherwise than by movement of the shaft, e.g. hydrostatic air-cushion bearings supported by a liquid cushion, e.g. oil cushion
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

Abstract

A kind of dynamic mesh update method of the radial oil film bearing based on Fluent, comprises the following steps:(1)Create bearing film grid file;(2)UDF controls writing for macroprogram in Fluent softwares;(4)Utilize Excel instruments pair(3)In obtained data file handled;(5)Start fluid calculation software Fluent, import grid file, carry UDF programs simultaneously set UDF control conditions;(6)Utilize UDF dynamic mesh programme-control Flow Field Calculations;(7)Judge whether journal centre track restrains.The present invention solves the problem of bearing film grid length-width ratio is excessive easily to occur mesh distortion in dynamic mesh motion, it is ensured that the grid lines of radial direction is along the circumferential direction first-class before and after mobile is distributed.During calculating dynamic mesh node coordinate using this method, make grid lines all the time perpendicular to journal surface, grid is not distorted deformation, it is to avoid the cumulative errors of grid computing, accelerate the calculating speed of bearing performance.

Description

A kind of dynamic mesh update method of the radial oil film bearing based on Fluent
Technical field
The invention belongs to filmatic bearing and its rotor-support-foundation system performance computing technique field, and in particular to one kind is based on Fluent Radial oil film bearing dynamic mesh update method.
Background technology
When carrying out filmatic bearing dynamic performance calculation, the journal centre of rotor is in whirling motion, the absolute speed of journal surface each point Degree and acceleration are different, and the shape of computational flow and kinematics parameters moment are changing, and can not be carried out using quiet grid model Calculate.Dynamic mesh model can change with time for simulating the basin caused by Boundary motion, in single-phase flow and many Mutually flow down and be applicable.Boundary motion can be compulsory exercise(For example, user can define the speed and angular speed at rigid body center), Can also need action to be solved(For example, determining the speed of subsequent time with solving result under six degrees of freedom model, accelerating Degree, angular speed, angular acceleration).For dynamic mesh model, user it needs to be determined that initial mesh and moving region.Conventional fluid Performance software for calculation Fluent provides three kinds of dynamic mesh more new algorithms:Smoothing、Layering、Remeshing.According to The change of moving boundaries, Fluent softwares are automatically updated to specified grid.Smoothing methods are smoothing method, and feature is Topological relation grid node is not changed, the change of mesh shape is only carried out, is easily sent out when grid distorts Dissipate.Layering methods are the movements with moving boundary, occur the increase or merging of grid in boundary.Remeshing methods It is, by all grid reoderings in control zone, to apply in general to unstructured grid.
The characteristics of in view of oil film radial dimension very little, in theory, Smoothing dynamic meshes update mode is more It is suitable in bearing performance calculating, but mesh distortion occurs.It has been proposed that the dynamic mesh based on elastic deformation updates Method.This method is similar with the Laplace methods in Smoothing methods.Grid node displacement is calculated as follows:
(1)
(2)
In formula,For the number of plies of film thickness direction grid,For the number of plies where grid node,WithIt is the position of journal centre Move.
Dynamic mesh adjusting method based on elastic deformation has two:First, once eccentricity is excessive, perpendicular to axle journal Grid lines just occur knockdown, this grid updating algorithm easily occurs dissipating, stops, dodging and the phenomenon such as moves back, and causes meter Calculate result inaccurate;Second, such calculation easily causes accumulated error, and long-time numerical behavior has mesh distortion or even negative The situation of volume.
Make a general survey of Flow Field Calculation dynamic mesh algorithm be used for filmatic bearing performance calculate when, due to filmatic bearing radial dimension compared with It is small, when grid deforms, it is easy to mesh distortion and negative volume mesh occur, causes bearing performance can not calculate or accumulate Error is larger.
The content of the invention
The present invention in order to solve to exist in the prior art bearing film grid length-width ratio it is excessive easily in dynamic mesh occur The problem of mesh distortion, there is provided a kind of dynamic mesh update method of the radial oil film bearing based on Fluent.
In order to solve the above technical problems, the present invention is adopted the following technical scheme that:A kind of radial direction oil film axle based on Fluent The dynamic mesh update method held, comprises the following steps:
(1)Create bearing film grid file;
(2)UDF controls writing for macroprogram in Fluent softwares:It is grand including three:Define the grand of each spot speed of journal surface DEFINE_PROFILE, the grand DEFINE_GRID_MOTION of self-defined dynamic mesh update mode and for creating grid node number According to the self-defined grand DEFINE_GRID_MOTION of text;
(3)Start fluid calculation software Fluent, import grid file, carry is used to create the grand of grid node data text DEFINE_GRID_MOTION, obtains grid node data file;
(4)Using Excel instruments to step(3)In obtained data file handled;
(5)Start fluid calculation software Fluent, import grid file, carry UDF programs simultaneously set UDF control conditions;
(6)Utilize UDF dynamic mesh programme-control Flow Field Calculations;
(7)Judge whether journal centre track restrains.
Described step(1)Specially:The type and Meshing Method of finite elements are chosen according to research object, by Computational flow is divided into hybrid grid in mesh generation software Gambit, oil inlet and oil-feed slot part for bearing film Using unstructured grid, structured grid is used to oil film part.
Described step(2)In, become bit rate because journal centre is present, its coordinate is in time changing, so axle journal table The speed of face each point is calculated according to the formula of relative motion, and the speed values for calculating each point are different, grand by writing The speed of DEFINE_PROFILE programme-control journal surface each points.
Described step(2)In, write, controlled using the grand DEFINE_GRID_MOTION renewals for carrying out dynamic mesh program The grid lines direction that system points to journal centre does not change all the time, so as to avoid grid from tilting, reduces and calculates cumulative errors.
Described step(2)In, in Fluent softwares, utilize self-defined Dynamic mesh calculation bearing oil film characteristic When, it is necessary to 4 texts be set up to record the dynamics data of each time step, based on being walked by future time Calculate;The oil-film force that the record axle journal of file 1 is received;File 2 records the coordinate of the journal centre of each time step;File 3 records each The change bit rate of the journal centre of time step;File 4 records the coordinate of bearing shell.
Described step(3)In, in Fluent softwares, all grid nodes in Precise Control of Oil film, it is necessary to obtain Global numbering, the place number of plies and the unit vector relative to journal centre of grid node are taken, and these data are stored in text In part 5, with easy-to-look-up and control;Five texts of the above need to be compiled using grand DEFINE_GRID_MOTION programs Write, compiled program is performed in dynamic mesh preview, obtain required above-mentioned grid node text.
Described step(5)In, the setting of control condition is respectively:
Problem Setup are set:Mixture models are selected, lubricating oil physical parameter, the quality between liquid phase and gas phase is defined Transmission selection Singhal gasification modes, are set in inlet pressure, oil-out pressure and operating pressure, selection of speed UDF Defined grand DEFINE_GRID_MOTION in the grand DEFINE_PROFILE of definition, dynamic mesh selection UDF;
Solution is set:Pressure-velocity coupling terms select continuity residual error, speed residual error, gas phase in PISO, monitor residual Difference is respectively provided with, the mass flow of monitoring oil inlet and oil-out, and remaining keeps default setting;Initialize flow field zero setting;
Time step is set to 0.0001 ~ 0.0005, and time step number is 10000;Remaining acquiescence, clicks on Calculate and calculates.
Grid is set not to be distorted deformation, it is necessary to which the grid lines direction for pointing to journal centre does not change all the time, hangs down all the time Directly in journal surface, it is distributed, makes radially while to ensure that the grid lines of the radial direction before and after mobile is along the circumferential direction first-class The angle of grid lines is equal, that is, the grid lines before moving is conllinear or parallel with the grid lines after movement;Described step(6)In Computational methods are specially:
Assuming that before mobile and after movement, the central point of bearing is respectivelyWith, the central point of the axle journal after mobile preceding and movement ForWith, oil film grid is divided into radial directionsLayer grid, it is assumed thatForMomentIt is any on layer grid to treat more New node,For nodeCorresponding after renewalLayer grid node;Oil-film force, the axle journal received according to axle journal this moment are sat Mark, journal centre's change bit rate, journal mass can draw subsequent timeJournal centre's coordinate, according to journal centre's coordinate Unit vector with the node with respect to journal centre, does ray difference quadrature axis neck circle and bearing circle in point, according to movement Front and rear grid lines is conllinear or parallel, it is known thatWithIt is parallel or conllinear;Unknown point is known againThe number of plies at place is, i.e., It is known,For bearing radius,For axle journal radius;Coordinate derivation algorithm step It is as follows:
(1), obtain
(2), it is knownUnit normal vector, due toWithCollinearly, so drawingUnit normal vector As
(3), solveWithIncluded angle cosine
(4), utilize triangular relationship formula solve
(5), obtain
(6)、, it is known thatCoordinate, you can obtainCoordinate.
Described step(5)Specially:An initial velocity and initial displacement are set first, pass through udf functions DEFINE_ GRID_MOTION calculates oil-film forceWith, further according to Newton's second law calculate the time step journal centre's coordinate, Speed;If desired, calculating the centre coordinate and speed of bearing shell again;The data calculated are directed respectively into corresponding text This document:File 1, file 2, file 3 and file 4;Grid is accurately controlled using file 5 simultaneously, grid updating is carried out, Enter next time step after the time step inner iteration is complete;Next time step uses file 2, file 3 and the last time of file 4 The numerical value of preservation;Circulated with this, until journal centre levels off to a fixed point or stable track;When journal centre track tends to One fixed point, or journal centre's stability-of-path be a certain closed curve when, be judged as convergence, otherwise continue executing with step(4)Directly Untill stabilization.
Using above-mentioned technical proposal, it is excessive easy in dynamic mesh motion that the present invention solves bearing film grid length-width ratio The problem of generation mesh distortion, it is ensured that the grid lines of radial direction is along the circumferential direction first-class before and after mobile is distributed.Utilize this During method calculates dynamic mesh node coordinate, make grid lines all the time perpendicular to journal surface, grid is not distorted deformation, The cumulative errors of grid computing are avoided, the calculating speed of bearing performance is accelerated.
Brief description of the drawings
Fig. 1 is the renewal flow chart of the present invention;
Fig. 2 is the renewal algorithm principle schematic diagram of flow field grid in the present invention;
Fig. 3 is bearing shell by sine excitation device exciting schematic diagram;
Fig. 4 is bearing film grid chart;
Fig. 5 is journal centre trajectory diagram of the bearing shell by sine excitation.
Embodiment
Technical scheme is described further in conjunction with the embodiments.
Bearing shell is as shown in Figure 3 by vibrator exciting control structure sketch.The motion of bearing shell is controlled using Displacement excitation device, To investigate the influence of the amplitude and phase of vibrator to axle center trail.The parameter of example is shown in Table 1.
The bearing of table 1, rotor and lubricating oil physical parameter
As Figure 1-4, the grid node renewal in Fluent softwares dynamic mesh more new technological process is the displacement according to axle journal, bearing shell Determine.The core of grid updating mode is to solve for the algorithm of node coordinate, and its grid node resolution principle figure is as shown in Figure 2. A kind of dynamic mesh update method of radial oil film bearing based on Fluent based on the present invention, calculates what filmatic bearing was supported The orbit of shaft center of rotor, comprises the following steps:
(1)The type and Meshing Method of finite elements are chosen according to research object, by means of mesh generation software Gambit Computational flow is divided into hybrid grid, the oil inlet and oil-feed slot part for bearing film use unstructured grid, right Oil film part uses structured grid.
(2)UDF controls writing for macroprogram in Fluent softwares:Become bit rate because journal centre is present, its coordinate exists Time changing, so the speed of journal surface each point is calculated according to the formula of relative motion, calculates the number of speed of each point Value is different, by the speed for writing grand DEFINE_PROFILE programme-control journal surface each point;Utilize grand DEFINE_ The renewal that GRID_MOTION carries out dynamic mesh program is write, and the grid lines direction that journal centre is pointed in control does not change all the time, from And avoid grid from tilting, reduce and calculate cumulative errors;The global of grid node is obtained using grand DEFINE_GRID_MOTION to compile Number, initial coordinate and the place number of plies.Define the grand DEFINE_PROFILE of each spot speed of journal surface(It is named as rot), from Define the grand DEFINE_GRID_MOTION of dynamic mesh update mode(It is named as dynamic)With for creating grid node data The self-defined grand DEFINE_GRID_MOTION of text(It is named as node).
(3)Data transfer text is set:File 1 is that force.txt reads in the oil-film force that each time step axle journal is received; File 2 is weiyi.txt, reads and writes the displacement of the journal centre of each time step;File 3 is vel.txt, reads and writes each time step Journal centre change bit rate;File 4 is bearing.txt, reads and writes the displacement of bearing shell.
(4)Fluent14.0 softwares are opened, grid model is imported, selection size is mm, carry udf.c files, in dynamic net All node regions are selected in lattice, the grand node of carry performs a grid preview, generation grid node data file node.txt (Vector of the packet containing node with respect to originWith the number of plies at place, referred to as file 5).
(5)The data node.txt of generation is rearranged in Excel forms(By global numbering from small to large suitable Sequence).
(6)Selection computation model is Mixture, defines physical parameter, sets input pressure, defines axle journal border rotation speed Carry grand rot when spending, the grand selection dynamic of dynamic mesh part, initialize flow field, and time step is set to 0.0001, click Calculate is calculated.The technological core of wherein dynamic mesh is the dynamic mesh update method proposed, and circular is such as Under:
Reference picture 2, it is assumed that the central point of bearing is respectively before mobile and after movementWith, the mobile preceding axle journal with after movement Central point isWith, oil film grid is divided into radial directionsLayer grid, it is assumed thatForMomentIt is any on layer grid Node to be updated,For node.Oil-film force, the axle journal received according to axle journal this moment Coordinate, journal centre's change bit rate, journal mass can draw subsequent timeJournal centre's coordinate, sat according to journal centre Mark and the node do ray difference quadrature axis neck circle and bearing circle in point with respect to the unit vector of journal centre, according to movement Front and rear grid lines is conllinear(It is parallel), it is known thatWithIt is parallel(Collinearly).Unknown point is known againThe number of plies at place is, i.e., It is known,For bearing radius,For axle journal radius.Coordinate derivation algorithm step It is as follows:
(1), obtain
(2), it is knownUnit normal vector, due toWithCollinearly, so drawingUnit normal vector As
(3), solveWithIncluded angle cosine
(4), utilize triangular relationship formula solve
(5), obtain
(6)、, it is known thatCoordinate, you can obtainCoordinate.
(7)After calculating terminates, journal centre's track figure line can be generated in Matlab according to weiyi.txt, is sentenced with this Disconnected convergence or stability.Fig. 5(a)It is the axle center trail figure under 1 micron, out of phase difference to give vibrator amplitude.Fig. 5 (b)It is 120 to give phase difference0, axle center trail figure under different exciting amplitudes.
The present embodiment not makees any formal limitation to shape, material, structure of the present invention etc., every according to this hair Any simple modification, equivalent variations and modification that bright technical spirit is made to above example, belong to the technology of the present invention side The protection domain of case.

Claims (9)

1. a kind of dynamic mesh update method of the radial oil film bearing based on Fluent, it is characterised in that:Comprise the following steps:
(1)Create bearing film grid file;
(2)UDF controls writing for macroprogram in Fluent softwares:It is grand including three:Define the grand of each spot speed of journal surface DEFINE_PROFILE, the grand DEFINE_GRID_MOTION of self-defined dynamic mesh update mode and for creating grid node number According to the self-defined grand DEFINE_GRID_MOTION of text;
(3)Start fluid calculation software Fluent, import grid file, carry is used to create the grand of grid node data text DEFINE_GRID_MOTION, obtains grid node data file;
(4)Using Excel instruments to step(3)In obtained data file handled;
(5)Start fluid calculation software Fluent, import grid file, carry UDF programs simultaneously set UDF control conditions;
(6)Utilize UDF dynamic mesh programme-control Flow Field Calculations;
(7)Judge whether journal centre track restrains.
2. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 1, its feature It is:Described step(1)Specially:The type and Meshing Method of finite elements are chosen according to research object, by means of Computational flow is divided into hybrid grid by mesh generation software Gambit, and the oil inlet and oil-feed slot part for bearing film are adopted With unstructured grid, structured grid is used to oil film part.
3. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 1, its feature It is:Described step(2)In, become bit rate because journal centre is present, its coordinate is in time changing, so journal surface is each The speed of point is calculated according to the formula of relative motion, and the speed values for calculating each point are different, grand by writing The speed of DEFINE_PROFILE programme-control journal surface each points.
4. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 3, its feature It is:Described step(2)In, write using the grand DEFINE_GRID_MOTION renewals for carrying out dynamic mesh program, control refers to Do not change all the time to the grid lines direction of journal centre, so as to avoid grid from tilting, reduce and calculate cumulative errors.
5. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 4, its feature It is:Described step(2)In, in Fluent softwares, during using self-defined Dynamic mesh calculation bearing oil film characteristic, need 4 texts are set up to record the dynamics data of each time step, in order to the calculating walked for future time;File The oil-film force that 1 record axle journal is received;File 2 records the coordinate of the journal centre of each time step;File 3 records each time step The change bit rate of journal centre;File 4 records the coordinate of bearing shell.
6. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 5, its feature It is:Described step(3)In, in Fluent softwares, all grid nodes in Precise Control of Oil film, it is necessary to obtain net Global numbering, the place number of plies and the unit vector relative to journal centre of lattice node, and these data are stored in file 5 In, with easy-to-look-up and control;Five texts of the above need to be write using grand DEFINE_GRID_MOTION programs, Compiled program is performed in dynamic mesh preview, required above-mentioned grid node text is obtained.
7. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 6, its feature It is:Described step(5)In, the setting of control condition is respectively:
Problem Setup are set:Mixture models are selected, lubricating oil physical parameter, the quality between liquid phase and gas phase is defined Transmission selection Singhal gasification modes, are set in inlet pressure, oil-out pressure and operating pressure, selection of speed UDF Defined grand DEFINE_GRID_MOTION in the grand DEFINE_PROFILE of definition, dynamic mesh selection UDF;
Solution is set:Pressure-velocity coupling terms select continuity residual error, speed residual error, gas phase in PISO, monitor residual Difference is respectively provided with, the mass flow of monitoring oil inlet and oil-out, and remaining keeps default setting;Initialize flow field zero setting;
Time step is set to 0.0001 ~ 0.0005, and time step number is 10000;Remaining acquiescence, clicks on Calculate and calculates.
8. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 7, its feature It is:Grid is not distorted deformation, it is necessary to which the grid lines direction for pointing to journal centre does not change all the time, all the time perpendicular to Journal surface, is distributed while to ensure that the grid lines of the radial direction before and after mobile is along the circumferential direction first-class, makes radial grid The angle of line is equal, that is, the grid lines before moving is conllinear or parallel with the grid lines after movement;Described step(6)In calculating Method is specially:
Assuming that before mobile and after movement, the central point of bearing is respectivelyWith, it is mobile before and it is mobile after the central point of axle journal beWith, oil film grid is divided into radial directionsLayer grid, it is assumed thatForMomentIt is any to be updated on layer grid Node,For nodeCorresponding after renewalLayer grid node;The oil-film force received according to axle journal this moment, axle journal coordinate, Journal centre, which becomes bit rate, journal mass, can draw subsequent timeJournal centre's coordinate, according to journal centre's coordinate and The node does ray difference quadrature axis neck circle and bearing circle in point with respect to the unit vector of journal centre, before movement Grid lines is conllinear or parallel afterwards, it is known thatWithIt is parallel or conllinear;Unknown point is known againThe number of plies at place is, i.e., Know,For bearing radius,For axle journal radius;Coordinate derivation algorithm step is such as Under:
(1), obtain
(2), it is knownUnit normal vector, due toWithCollinearly, so drawingUnit normal vector As
(3), solveWithIncluded angle cosine
(4), utilize triangular relationship formula solve
(5), obtain
(6)、, it is known thatCoordinate, you can obtainCoordinate.
9. a kind of dynamic mesh update method of radial oil film bearing based on Fluent according to claim 8, its feature It is:Described step(5)Specially:An initial velocity and initial displacement are set first, pass through udf functions DEFINE_ GRID_MOTION calculates oil-film forceWith, further according to Newton's second law calculate the time step journal centre's coordinate, Speed;If desired, calculating the centre coordinate and speed of bearing shell again;The data calculated are directed respectively into corresponding text This document:File 1, file 2, file 3 and file 4;Grid is accurately controlled using file 5 simultaneously, grid updating is carried out, Enter next time step after the time step inner iteration is complete;Next time step uses file 2, file 3 and the last time of file 4 The numerical value of preservation;Circulated with this, until journal centre levels off to a fixed point or stable track;When journal centre track tends to One fixed point, or journal centre's stability-of-path be a certain closed curve when, be judged as convergence, otherwise continue executing with step(4)Directly Untill stabilization.
CN201710430240.9A 2017-06-09 2017-06-09 A kind of dynamic mesh update method of the radial oil film bearing based on Fluent Pending CN107269700A (en)

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* Cited by examiner, † Cited by third party
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CN109977475A (en) * 2019-02-28 2019-07-05 浙江大学 A kind of dynamic mesh update method for 3 D complex pipeline fluid and structural simulation
CN109992918A (en) * 2019-04-11 2019-07-09 新余学院 A kind of characterizing method that high-silicon aluminum alloy cylinder sleeve surface silicon particle shape influences its frictional behaviour
CN111062172A (en) * 2019-12-18 2020-04-24 哈尔滨工程大学 Autonomous swimming simulation method based on FLUENT moving grid technology for mink fish model
CN111222291A (en) * 2019-12-30 2020-06-02 太原重工股份有限公司 Oil film fluid domain discretization method
CN112989722A (en) * 2021-03-12 2021-06-18 南京工程学院 Reynolds boundary condition calculation method based on dynamic grid

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109977475A (en) * 2019-02-28 2019-07-05 浙江大学 A kind of dynamic mesh update method for 3 D complex pipeline fluid and structural simulation
CN109992918A (en) * 2019-04-11 2019-07-09 新余学院 A kind of characterizing method that high-silicon aluminum alloy cylinder sleeve surface silicon particle shape influences its frictional behaviour
CN111062172A (en) * 2019-12-18 2020-04-24 哈尔滨工程大学 Autonomous swimming simulation method based on FLUENT moving grid technology for mink fish model
CN111062172B (en) * 2019-12-18 2022-12-16 哈尔滨工程大学 Autonomous swimming simulation method based on FLUENT moving grid technology for mink fish model
CN111222291A (en) * 2019-12-30 2020-06-02 太原重工股份有限公司 Oil film fluid domain discretization method
CN111222291B (en) * 2019-12-30 2023-03-10 太原重工股份有限公司 Oil film fluid domain discretization method
CN112989722A (en) * 2021-03-12 2021-06-18 南京工程学院 Reynolds boundary condition calculation method based on dynamic grid
CN112989722B (en) * 2021-03-12 2023-08-15 南京工程学院 Reynolds boundary condition calculation method based on dynamic grid

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Application publication date: 20171020